document.write( "Question 408221: 1. The area of a rectangular room is 300 ft2. The perimeter is 70 ft. What are the dimensions of the room?
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document.write( "i tried to do this, but it doesnt work!!!!
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document.write( "100x3, 2x150, 1x300, 5x60, 6x50
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document.write( "thx! \n" );
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Algebra.Com's Answer #287661 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 1. The area of a rectangular room is 300 ft2. \n" ); document.write( "The perimeter is 70 ft. What are the dimensions of the room? \n" ); document.write( ": \n" ); document.write( "The perimeter: \n" ); document.write( "2L + 2W = 70 \n" ); document.write( "Simplify, divide by 2 \n" ); document.write( "L + W = 35 \n" ); document.write( "W = (35-L); use this form for substitution \n" ); document.write( ": \n" ); document.write( "The area: \n" ); document.write( "L * W = 300 \n" ); document.write( "replace W with (35-L) \n" ); document.write( "L*(35-L) = 300 \n" ); document.write( "-L^2 + 35L = 300 \n" ); document.write( "-L^2 + 35L - 300 = 0 \n" ); document.write( "Easier to factor if L^2 is positive, multiply by -1 \n" ); document.write( "L^2 - 35L + 300 = 0 \n" ); document.write( "Factor this to \n" ); document.write( "(L-15)(L-20) = 0 \n" ); document.write( "Two solutions \n" ); document.write( "L = 15 \n" ); document.write( "L = 20 ft \n" ); document.write( "choose the larger value for L, 20 ft, find W \n" ); document.write( "W = 35 - 20 \n" ); document.write( "W = 15 ft is the width \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that is true \n" ); document.write( "2(20) + 2(15) = 70 \n" ); document.write( " |